degree:6
 order:25
[ 6, 6, 6, 6 ][ 2, 1, 0, 2, 2, 2 ]

minimal polynomial:[ x-6, x^2-2*x-4, x^2+3*x+1 ] 
 Galois type:1

 minimal polynomial of other basis elements:
[ x-6, x^2-2*x-4, x^2+3*x+1 ]
[ x-6, x^2-2*x-4, x^2+3*x+1 ]
[ x-6, x^2-2*x-4, x^2+3*x+1 ]
 SITA:              

[ [ [ 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 6, 0, 0, 0 ], [ 1, 2, 2, 1, 0 ], [ 0, 2, 0, 2, 2 ], [ 0, 1, 2, 1, 2 ], [ 0, 0, 2, 2, 2 ] ], 
  [ [ 0, 0, 6, 0, 0 ], [ 0, 2, 0, 2, 2 ], [ 1, 0, 2, 2, 1 ], [ 0, 2, 2, 0, 2 ], [ 0, 2, 1, 2, 1 ] ], 
  [ [ 0, 0, 0, 6, 0 ], [ 0, 1, 2, 1, 2 ], [ 0, 2, 2, 0, 2 ], [ 1, 1, 0, 2, 2 ], [ 0, 2, 2, 2, 0 ] ], 
  [ [ 0, 0, 0, 0, 6 ], [ 0, 0, 2, 2, 2 ], [ 0, 2, 1, 2, 1 ], [ 0, 2, 2, 2, 0 ], [ 1, 2, 1, 0, 2 ] ] ]